A Multiplication Based Logic Puzzle

  • 13 is a prime number.
  • Prime factorization: 13 is prime.
  • The exponent of prime number 13 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 13 has exactly 2 factors.
  • Factors of 13: 1, 13
  • Factor pairs: 13 = 1 x 13
  • 13 has no square factors that allow its square root to be simplified. √13 ≈ 3.60555.

How do we know that 13 is a prime number? If 13 were not a prime number, then it would be divisible by at least one prime number less than or equal to √13 ≈ 3.6. Since 13 cannot be divided evenly by 2 or 3, we know that 13 is a prime number.

13 is never a factor in the FIND THE FACTOR 1 – 10 or 1 – 12 puzzles.

Tonight (December 5th) all over Hungary, children will polish their boots and then place them in a window or in front of their door. Once the children are “nestled, all snug in their beds, … visions of sugar-plums (will indeed) dance in their heads” as they await a visit from Mikulás, or St. Nickolas.  When the children get up in the morning, they will find their boots or shoes filled with candy, fruit, and nuts if they have been good. If they have been bad, their boots or shoes will be filled with virgács, a small collection of twigs that have been spray-painted gold and decoratively bound together.

Since most children were good some of the time and naughty once in awhile, they will likely find  the expected goodies as well as virgács in their shoes or boots.
With these traditions in mind, I created the puzzles for today. If you have just a little imagination, you will be able to see different types of candy as well as the virgács in the clues. These puzzles will be a treat to any child or adult who did their homework and learned multiplication, division, and factoring. Click 12 Factors 2013-12-05.

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